3644204256 has 720 divisors, whose sum is σ = 14533706880. Its totient is φ = 867801600.

The previous prime is 3644204209. The next prime is 3644204273. The reversal of 3644204256 is 6524024463.

3644204256 is a `hidden beast` number, since 3 + 644 + 2 + 0 + 4 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3644204256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 117554961 + ... + 117554991.

It is an arithmetic number, because the mean of its divisors is an integer number (20185704).

Almost surely, 2^3644204256 is an apocalyptic number.

3644204256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3644204256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266853440).

3644204256 is an abundant number, since it is smaller than the sum of its proper divisors (10889502624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3644204256 is a wasteful number, since it uses less digits than its factorization.

3644204256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3644204256 is about 60367.2448932366. The cubic root of 3644204256 is about 1538.8663518337.

The spelling of 3644204256 in words is "three billion, six hundred forty-four million, two hundred four thousand, two hundred fifty-six".